Diagram Genus, Generators, and Applications (Record no. 4427)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01930 a2200373 4500 |
| 001 - CONTROL NUMBER | |
| control field | 1315362198 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250317111604.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250312042018xx 17 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781315362199 |
| 037 ## - SOURCE OF ACQUISITION | |
| Source of stock number/acquisition | Taylor & Francis |
| Terms of availability | GBP 160.00 |
| Form of issue | BB |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | 01 |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | PBM |
| Source | thema |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | PBV |
| Source | thema |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | PHU |
| Source | thema |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | PBD |
| Source | thema |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | PBW |
| Source | thema |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | PBM |
| Source | bic |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | PBV |
| Source | bic |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | PHU |
| Source | bic |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | PBD |
| Source | bic |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | PBW |
| Source | bic |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | MAT012000 |
| Source | bisac |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | MAT036000 |
| Source | bisac |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | MAT004000 |
| Source | bisac |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | MAT000000 |
| Source | bisac |
| 072 7# - SUBJECT CATEGORY CODE | |
| Subject category code | 514.2242 |
| Source | bisac |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Alexander Stoimenow |
| 245 10 - TITLE STATEMENT | |
| Title | Diagram Genus, Generators, and Applications |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1 |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Name of publisher, distributor, etc. | Chapman and Hall/CRC |
| Date of publication, distribution, etc. | 20180903 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 192 p |
| 520 ## - SUMMARY, ETC. | |
| Expansion of summary note | In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("generators"). Diagram Genus, Generators and Applications presents a self-contained account of the canonical genus: the genus of knot diagrams. The author explores recent research on the combinatorial theory of knots and supplies proofs for a number of theorems. The book begins with an introduction to the origin of knot tables and the background details, including diagrams, surfaces, and invariants. It then derives a new description of generators using Hirasawa’s algorithm and extends this description to push the compilation of knot generators one genus further to complete their classification for genus 4. Subsequent chapters cover applications of the genus 4 classification, including the braid index, polynomial invariants, hyperbolic volume, and Vassiliev invariants. The final chapter presents further research related to generators, which helps readers see applications of generators in a broader context. |
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